In recent years many works have been done in the field of inverse scattering. Such as algorithms which are developed to detect objects under the ground, objects behind or inside walls, which have military, meteorological and medical applications. Inverse scattering problem is to illuminate an object by electromagnetic waves then the fields around it are measured to obtain it's location , geometrical and physical properties. But always non-linear nature and illposedness of the problem cause severe restrictions. These two characteristics are due to multipath scattering or lack of real answer. Available methods for solving inverse scattering problems are divided into two categories: quantitative and qualitative methods. Quantitative methods give more information such as object shape, location and properties but are time-consuming, and require more initial information. On the other hand qualitative methods which give only location and shape of the object, need less initial information and are faster. To achieve the best results, the combination of these two methods are used. First using qualitative methods to find the shape and location of the object and then they are applied as initial information for quantitative methods to obtain physical properties of the object. In this thesis using the qualitative method of MUltiple SIgnal Classification (MUSIC) algorithm to locate in three cases including free space, anisotropic dielectric and anisotropic magnetic background in three dimensional. First the applications and methods of solving of inverse scattering problem are presented. Then four inclusions in three mensioned are located by simulations of MUSIC algorithm with MATLAB.